72672400063620 has 216 divisors, whose sum is σ = 265272160771800. Its totient is φ = 16038046854144.

The previous prime is 72672400063573. The next prime is 72672400063631. The reversal of 72672400063620 is 2636000427627.

72672400063620 is a `hidden beast` number, since 7 + 2 + 6 + 7 + 2 + 4 + 0 + 0 + 0 + 636 + 2 + 0 = 666.

72672400063620 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24723727511616 + 47948672552004 = 4972296^2 + 6924498^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141804585 + ... + 142316144.

It is an arithmetic number, because the mean of its divisors is an integer number (1228111855425).

Almost surely, 2^{72672400063620} is an apocalyptic number.

72672400063620 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72672400063620 is an abundant number, since it is smaller than the sum of its proper divisors (192599760708180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72672400063620 is a wasteful number, since it uses less digits than its factorization.

72672400063620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284120787 (or 284120775 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 72672400063620 in words is "seventy-two trillion, six hundred seventy-two billion, four hundred million, sixty-three thousand, six hundred twenty".